Finite Group DatabasebetaFinite Group Databasebeta| order | 24206 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C19×C49 · Schur multiplier (H2) = C1 |
| direct product | C19×D13×C49 |
| unambiguous semidirect product | C13⋊(C2×C19×C49) |
| Fitting, Hall | C13×C19×C49 ⋊ C2 |
| derived, Sylow | C13 ⋊ C2×C19×C49 |
| Hall | C13×C49 ⋊ C2×C19 |
| Hall | C13×C19 ⋊ C2×C49 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 12103 |
7448 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(24206, 3);